Bar Charts Questions & Answers - Page 15

The percentage increase in the amount invested in raw-materials as compared to the previous year, for different years are:

For 1996 = [ (225 - 120)/120 ] % = 87.5%

For 1997 = [ (375 - 225)/225 ] % = 66.67%

For 1998, there is a decrease.

For 1999 = [ (525 - 330)/330 ] % = 59.09%

For 2000, there is a decrease.

Therefore, there is maximum percentage increase in 1996.

The percentage change in the amount invested in raw-materials and in the value of sales of finished goods for different years are:

Percentage change in Amount invested in raw-material:

For 1996 = [ (225 - 120)/120 x 100 ] % = 87.5%

For 1997 = [ (375 - 225)/225 x 100 ] % = 66.67%

For 1998 = [ (330 - 375)/375 x 100 ] % = -12%

For 1999 = [ (525 - 330)/330 x 100 ] % = 59.09%

For 2000 = [ (420 - 525)/525 x 100 ] % = -20%

Percentage change in value of sales of finished goods:

For 1996 = [ (300 - 200)/200 x 100 ] % = 50%

For 1997 = [ (500 - 300)/300 x 100 ] % = 66.7%

For 1998 = [ (400 - 500)/500 x 100 ] % = -20%

For 1999 = [ (600 - 400)/400 x 100 ] % = 50%

For 2000 = [ (460 - 600)/600 x 100 ] % = -23.33%

Thus, the percentage difference is same during the year 1997.

Required difference

= Rs. [ 1/6 x (200 + 300 + 500 + 400 + 600 +460) - 1/6 x (120 + 225 + 375 + 330 + 525 + 420) ] lakhs 

= Rs. [ ( 2460/6 ) - ( 1995/6 ) ] lakhs

= Rs. (410 - 332.5) lakhs

= Rs. 77.5 lakhs.

Required percentage = [ 600/(375 + 330 + 525) x 100 ] %

= 48.78%

≈  49%.

The differences between the amount invested in raw material and the value of sales of finished goods for various years are:

For 1995 = Rs. (200 - 120) lakhs = Rs. 80 lakhs.

For 1996 = Rs. (300 - 225) lakhs = Rs. 75 lakhs.

For 1997 = Rs. (500 - 375) lakhs = Rs. 125 lakhs.

For 1998 = Rs. (400 - 330) lakhs = Rs. 70 lakhs.

For 1999 = Rs. (600 - 525) lakhs = Rs. 75 lakhs.

For 2000 = Rs. (460 - 420) lakhs = Rs. 40 lakhs.

Clearly, maximum difference was during 1997.